feat: ak status on project state #357

Why

Status reports this project, its prerequisites and older installations (design: Sync, status, uninstall).

In scope

Sections This project (with a Hosts section from ak host status, G1), Prerequisites and Older installation; refresh state/status.json; never report all healthy while a warning is open (B0.2).

Out of scope

Machine sections.

Acceptance criteria

• Status outside an opted-in project writes nothing
• A warning is never summarised as healthy

Dependencies

Blocked by: #355

Blocks: #360, #367, #387, #444

Plan

• Release: 4.0.0-beta.3
• Size: size:M · Workstream: ws:project-scope
• Epic: feat: project-scope P5, sync, status, uninstall and the command folds (epic) #300
• Card: P5-03 in the card inventory
• Sources: Design (docs(plans): project-scoped management design and its prerequisites #289) Sync, status, uninstall; v5 impact review (docs(plans): v4 GA master plan, supersession ledger and v5 registers #290) B0.2

Verification

• node scripts/run-tests.mjs focus (new status tests)